Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 박춘길 | - |
dc.date.accessioned | 2019-04-29T05:55:21Z | - |
dc.date.available | 2019-04-29T05:55:21Z | - |
dc.date.issued | 2016-12 | - |
dc.identifier.citation | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, v. 9, NO 9, Page. 5344-5352 | en_US |
dc.identifier.issn | 2008-1898 | - |
dc.identifier.issn | 2008-1901 | - |
dc.identifier.uri | https://www.isr-publications.com/jnsa/articles-2764-quadratic-rho-functional-inequalities-in-complex-matrix-normed-spaces | - |
dc.identifier.uri | https://repository.hanyang.ac.kr/handle/20.500.11754/102920 | - |
dc.description.abstract | In this paper, we solve the following quadratic rho-functional inequalities parallel to f(x + y) + f(x - y) - 2f(x) - 2f(y)parallel to <= parallel to rho(2f(x + y)/2) + 2f(x - y/2) - f(x) - f(y))parallel to, where rho is a fixed complex number with |rho| < 1, and parallel to 2f(x + y/2)+2f(x - y/2) - f(x) - f(y)parallel to <= parallel to rho(f(x + y) + f(x - y) - 2f(x) - 2f(y))parallel to, where rho is a fixed complex number with |rho| < 1/2. By using the direct method, we prove the Hyers-Ulam stability of these inequalities in complex matrix normed spaces, and prove the Hyers-Ulam stability of quadratic rho-functional equations associated with these inequalities in complex matrix normed spaces. (C) 2016 All rights reserved. | en_US |
dc.description.sponsorship | I would like to thank the referee(s) for his comments and suggestions on the manuscript. This research work is supported by Key Project of Educational Department of Hubei Province of China (Grant Nos. D20161401) and BSQD12077. | en_US |
dc.language.iso | en | en_US |
dc.publisher | INT SCIENTIFIC RESEARCH PUBLICATIONS | en_US |
dc.subject | Hyers-Ulam stability | en_US |
dc.subject | matrix normed space | en_US |
dc.subject | quadratic rho-functional equation | en_US |
dc.subject | quadratic rho-functional inequality | en_US |
dc.title | Quadratic rho-functional inequalities in complex matrix normed spaces | en_US |
dc.type | Article | en_US |
dc.relation.no | 9 | - |
dc.relation.volume | 9 | - |
dc.identifier.doi | 10.22436/jnsa.009.09.03 | - |
dc.relation.page | 5344-5352 | - |
dc.relation.journal | JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | - |
dc.contributor.googleauthor | Wang, Zhihua | - |
dc.contributor.googleauthor | Park, Choonkil | - |
dc.relation.code | 2016009130 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | baak | - |
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